Question

Factorize by splitting the middle term: 6x2 + 7x – 5​

Answer 1

Answer:

To Factorize:- 6x²+7x-5

Solution:-

Using Splitting the middle term method

that is

here,a=6,b=7,c=5

P=A×C(product=6×5=30)

S=B(sum=7)

Find two numbers whose product= 30

and sum = 7

that is 10 & 3

here,we can use -3,and 10-3=7

therefore

6x²+7x-5

=> 6x²+10x-3x-5

=> 2x(3x+5)-1(3x+5)

=> (2x-1)(3x+5)

Therefore the answer is (2x-1)(3x+5)

hope it helps

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